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Finding the Third Proportional to 12,363 and 17,615.25

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Solution

The third proportional to 12,363 and 17,615.25 is: 25,098.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,363 : 17,615.25 = 17,615.25 : x
  2. Step 2: Convert to fraction form
    12,363/17,615.25 = 17,615.25/x
  3. Step 3: Cross multiply
    12,363x = 17,615.25 × 17,615.25
  4. Step 4: Simplify right side
    12,363x = 310,297,032.56
  5. Step 5: Solve for x
    x = 310,297,032.56/12,363
  6. Step 6: Final answer
    x = 25,098.85

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.